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Graph Traversals

Explore graph traversal techniques including breadth-first search and depth-first search. Learn how each method systematically visits graph nodes using queues or recursion. Understand their applications, advantages, and implementation in C#. This lesson prepares you to effectively traverse graphs for problems such as shortest paths, connectivity, and cycle detection.

Graph traversal is the process of visiting all vertices (nodes) in a graph systematically. It is a fundamental concept because many graph algorithms rely on efficient graph exploration.

The two most common graph traversal techniques are:

  • Breadth-first search (BFS)

  • Depth-first search (DFS)

Breadth-first search (BFS)

Breadth-first search explores a graph level by level. Starting from a chosen node, it first visits all immediate neighbors before moving to nodes at the next level.

Key idea

BFS uses a queue (FIFO: first in, first out). In C#, Queue<T> is the standard choice. ...